4 citations · 5 across the 5 of their papers we have counts for
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On arithmetic sums involving divisor functions in two variables
Adama Diene, Mohamed El Bachraoui
We prove the analogue of an identity of Huard, Ou, Spearman and Williams and apply it to evaluate a variety of sums involving divisor functions in two variables. It turns out that…
Recursive formulas for sums of squares and sums of triangular numbers
Mohamed El Bachraoui
We prove recursive formulas for sums of squares and sums of triangular numbers in terms of sums of divisors functions and we give a variety of consequences of these formulas. Inter…
Inductive Formulas for some Arithmetic Functions
Mohamed El Bachraoui
We prove recursive formulas involving sums of divisors and sums of triangular numbers and give a variety of identities relating arithmetic functions to divisor functions providing…
On Relatively Prime Subsets and Supersets
Mohamed El Bachraoui
A nonempty finite set of positive integers A is relatively prime if gcd(A) = 1 and it is relatively prime to n if gcd(A [ fng) = 1. The number of nonempty subsets of A which are re…
Combinatorial Identities Involving the Mobius Function
Mohamed El bachraoui, Mohamed Salim
In this paper we derive some identities and inequalities on the Möbius mu function. Our main tool is phi functions for intervals of positive integers and their unions.